Publications

All my papers are available on arXiv (with latex source), on Google Scholar, and on HAL.

Habilitation à diriger des recherches

Combinatorics of the Permutahedra, Associahedra, and Friends defended on October, 20 2023 at Paris-Saclay University

[ arXiv ][ HAL ]

Book Sections

• Vincent Pilaud and Viviane Pons. The Hopf algebra of integer binary relations. In Algebraic Combinatorics, Resurgence, Moulds and Applications (CARMA) Volume 1, pages 299–344. European Mathematical Society Publishing House, February 2020. doi:10.4171/204-1/8.
  [ Editor link ][ arXiv ][ HAL ] [ Bibtex ]
  

Journal Papers

• Vincent Pilaud, Vivane Pons, and Daniel Tamayo Jiménez. Permutree sorting. Algebraic Combinatorics, 6(1):53–74, 2023. doi:10.5802/alco.249.
  [ Editor link ][ arXiv ][ HAL ] [ Bibtex ]
  
• Grégory Chatel, Vincent Pilaud, and Viviane Pons. The weak order on integer posets. Algebraic Combinatorics, 2(1):1–48, 2019. doi:10.5802/alco.36.
  [ Editor link ][ arXiv ][ HAL ] [ Bibtex ]
  
• V. Pons. The Rise-Contact involution on Tamari intervals. The Electronic Journal of Combinatorics, 26(2):P2.32, 2019. doi:10.37236/7698.
  [ Editor link ][ arXiv ][ HAL ] [ Bibtex ]
  
• V. Pilaud and V. Pons. Permutrees. Algebraic Combinatorics, 1(2):173–224, 2018. doi:10.5802/alco.1.
  [ Editor link ][ arXiv ][ HAL ] [ Bibtex ]
  
• G. Châtel and V. Pons. Counting smaller elements in the tamari and m-tamari lattices. Journal of Combinatorial Theory, Series A, 134():58 – 97, 2015. doi:10.1016/j.jcta.2015.03.004.
  [ Editor link ][ arXiv ][ HAL ] [ Bibtex ]
  
• V. Pons. Interval structure of the Pieri formula for Grothendieck polynomials. International Journal of Algebra and Computation, 23(01):123–146, 2013. doi:10.1142/S0218196713500045.
  [ Editor link ][ arXiv ][ HAL ] [ Bibtex ]
  
• V. Pons. Multivariate polynomials in Sage. Sém. Lothar. Combin., 66:Art. B66z, 18, 2011.
  [ Editor link ][ arXiv ][ HAL ] [ Bibtex ]
  

Conference Papers

• Loïc Le Mogne and Viviane Pons. Deficit and (q,t)-symmetry in triangular Dyck paths. In 35th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2023), volume 89B, Art. #21. Davis, U.S., 2023. Séminaire Lotharingien de Combinatoire.
  [ Editor link ][ HAL ] [ Bibtex ]
  
• V. Pilaud, V. Pons, and D. Tamayo Jiménez. Permutree Sorting . In 33rd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2021), volume 85B, Art. 31. Séminaire Lotharingien de Combinatoire, 2021.
  [ Editor link ] [ Bibtex ]
  
• C. Ceballos and V. Pons. The s-weak order and s-permutahedra . In 31st International Conference on "Formal Power Series and Algebraic Combinatorics" (FPSAC 2019), volume 82B, Art. 76. Hanover, United States, 2019. Séminaire Lotharingien de Combinatoire.
  [ Editor link ][ HAL ] [ Bibtex ]
  
• V. Pilaud and V. Pons. Algebraic structures on integer posets. In 30th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2018), volume 80B, Art. 61. Hanover, United States, 2018. Séminaire Lotharingien de Combinatoire.
  [ Editor link ][ HAL ] [ Bibtex ]
  
• V. Pilaud and V. Pons. Permutrees. In The European Conference on Combinatorics, Graph Theory and Applications (EUROCOMB'17), volume 61, 987 – 993. Electronic Notes in Discrete Mathematics, 2017. doi:10.1016/j.endm.2017.07.063.
  [ Editor link ][ arXiv ][ HAL ] [ Bibtex ]
  
• V. Pons. A lattice on decreasing trees : the metasylvester lattice. In 27th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2015), DMTCS Proceedings, 381–392. Discrete Mathematics and Theoretical Computer Science, 2015.
  [ Editor link ][ arXiv ][ HAL ] [ Bibtex ]
  
• F. Chapoton, G. Chatel, and V. Pons. Two bijections on tamari intervals. In 26th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2014), DMTCS Proceedings. Discrete Mathematics and Theoretical Computer Science, 2014.
  [ Editor link ][ arXiv ][ HAL ] [ Bibtex ]
  
• G. Chatel and V. Pons. Counting smaller trees in the tamari order. In 25th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2013), DMTCS Proceedings, 433–444. Discrete Mathematics and Theoretical Computer Science, 2013.
  [ Editor link ][ arXiv ][ HAL ] [ Bibtex ]
  

Vulgarization

• V. Pons. Ordonner les ordres. Interstices, 2017.
  [ Editor link ][ HAL ] [ Bibtex ]
  

Thesis

• V. Pons. Combinatoire algébrique liée aux ordres sur les permutations. PhD thesis, Université Paris-Est Marne-la-Vallée, 2013.
  [ arXiv ] [ Bibtex ] [ Slides ]
  

Preprints

• Cesar Ceballos and Vivane Pons. The s-weak order and s-permutahedra~II: the combinatorial complex of pure intervals. 2023. arXiv:2309.14261.
  [ arXiv ][ HAL ] [ Bibtex ]
  
• Cesar Ceballos and Viviane Pons. The s-weak order and s-permutahedra I: combinatorics and lattice structure. 2022. arXiv:2212.11556.
  [ arXiv ][ HAL ] [ Bibtex ]
  
• V. Pons. A description of the Zeta map on Dyck paths area sequences. 2022. arXiv:2205.06375.
  [ arXiv ] [ Bibtex ]
  
• C. Berg, V. Pons, T. Scrimshaw, J. Striker, and C. Stump. Findstat - the combinatorial statistics database. 2014.
  [ arXiv ] [ Bibtex ]
  

Translations: fr